Influence of coordinate system establishment error on tooth profile deviation measured by standard polar coordinate method on gear measuring center

Yin, Peili; Han, Fanbin; Wang, Jianhua; Lu, Chunxia; Du, Hubing

doi:10.1016/j.measurement.2021.110344

Cited by 11 publications

(5 citation statements)

References 19 publications

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“…Although this method cannot be perfectly applied in gear measurement, it can be considered during the measurement process. Peili Y et al [11] used the standard polar coordinate method to study the influence of the error of gear measurement center coordinate system on the tooth profile deviation They found that changing the error direction could offset the systematic error during coordinate system establishment in the measurement process, providing a new method for measuring gear tooth profile. However, this paper only presents theoretical innovations, and practical implementation is still a long way off.…”

Section: 2 State Of the Artmentioning

confidence: 99%

Research on gear profile deviation detection method based on linear structured light

Jiang,

Zhang,

et al. 2024

Int J Adv Manuf Technol

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Gear requires a reliable, holistic, and rapid inspection method to ensure manufacturing accuracy. Linear structured light provides a fast and effective solution to meet the rapid testing requirements of gear manufacturers. But its accuracy still needs to be improved. This method can obtain 33000 3D data points of a single gear tooth surface in less than 0.3 seconds. And based on this, evaluate the tooth profile error of the gear. The results indicate that the measurement deviation amount to 1.47μm in measuring gears of level 7 accuracy compared to the gear measurement center. The error mainly comes from the equipment error and the downsampling process using centroid method. In the measurement process, the larger the deviation between the contact position of the gear and the light and the focus position of the linear structured light, the greater the error. The larger the neighborhood search radius during the calculation process, the larger the error.

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Section: 2 State Of the Artmentioning

confidence: 99%

Research on gear profile deviation detection method based on linear structured light

Jiang,

Zhang,

et al. 2024

Int J Adv Manuf Technol

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“…The larger the area of quadrilateral ABCD, the larger the positioning estimation error, and the smaller the area, the higher the positioning estimation accuracy. Therefore, it can be concluded from this paper that the error of the two-station lateral localisation method is affected by many factors, so Triposition [17] localisation technique and polar co-ordinate method [18] are used in this paper.…”

Section: Whenmentioning

confidence: 99%

UAV formation method based on triposition positioning model

Zhong

Liu

et al. 2023

Sixth International Conference on Advanced Electronic Materials, Computers, and Software Engineering (AEMCSE 2023)

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With the development of technology, UAV formation gradually appears in people's view. During the formation process, the UAV can obtain height information through its own perception, thus, the UAV formation problem is downscaled and the UAV is localised. In this paper, the position coordinates of the UAV are obtained through the Triposition positioning algorithm, using geometric relations, after which the UAV is distributed on a circle by adjusting the edges, and later the UAV is adjusted to the ideal position by adjusting the angle. The experimental results ultimately show that the algorithm is robust under large angular errors and can be better combined to become a signal localisation system in larger UAV formations, thus maintaining the operational capability and stability of communication transmissions in large UAV formations.

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“…Takeoka 15 proposed a virtual gear checker and analyzed the influence of its error factors and gear measurement uncertainties. Yin 16 established the tooth profile deviation measurement model of the standard polar coordinate method and the coordinate system establishment error model. On the DTGMC platform, the influence of the coordinate system establishment errors in the X and Y directions on the measurement accuracy of the involute tooth profile was simulated.…”

Section: Introductionmentioning

confidence: 99%

Spatial error modeling and accuracy distribution of line laser gear measuring center

Zhang,

Yang,

Liu

2023

Measurement and Control

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The Line laser gear measuring center (LLGMC) is an innovative gear measurement equipment that offers high efficiency but low accuracy. One crucial factor that influences its measurement accuracy is the presence of geometric errors. In this study, we conducted a thorough analysis of these geometric errors and proposed a method for modeling spatial errors. Instead of directly considering the geometric errors, we replaced them with the installation errors of the gear and line laser probe. This approach simplifies and improves the error transmission relationship. Subsequently, the installation errors are converted into a unified representation of the height error of the incident light from the line laser. A spatial error model that considers nine installation errors is then further established. By numerically calculating the sensitivity of different error sources, we effectively identified the errors that have a significant impact on the accuracy of LLGMC. Moreover, accuracy distribution is carried out to ensure that LLGMC can meet the measurement accuracy requirements for gears with a tolerance class of 6. This article provides a theoretical foundation for the structural design and accuracy assurance of LLGMC during the research and development phase.

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Influence of coordinate system establishment error on tooth profile deviation measured by standard polar coordinate method on gear measuring center

Cited by 11 publications

References 19 publications

Research on gear profile deviation detection method based on linear structured light

Research on gear profile deviation detection method based on linear structured light

UAV formation method based on triposition positioning model

Spatial error modeling and accuracy distribution of line laser gear measuring center

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